Answer:
999
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
-3 and -2 are the only values less than or = to -2
the rest are greater than -2
Answer:
![\boxed {\boxed {\sf 9 \ arrangements }}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%209%20%5C%20arrangements%20%7D%7D)
Step-by-step explanation:
Let's set up a proportion using the following setup:
![\frac{arrangements}{minutes} =\frac{arrangements}{minutes}](https://tex.z-dn.net/?f=%5Cfrac%7Barrangements%7D%7Bminutes%7D%20%3D%5Cfrac%7Barrangements%7D%7Bminutes%7D)
We know that the florist can arrange 4 in 92 minutes.
![\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5C%20arrangements%7D%7B92%20%5C%20minutes%7D%20%3D%20%5Cfrac%7Barrangements%7D%7Bminutes%7D)
We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.
![\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5C%20arrangements%7D%7B92%20%5C%20minutes%7D%20%3D%20%5Cfrac%7B%20x%20%5C%20arrangements%7D%7B%20207%20%5C%20minutes%7D)
![\frac{4}{92} =\frac{x}{207}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B92%7D%20%3D%5Cfrac%7Bx%7D%7B207%7D)
Solve for x by isolating it on one side of the proportion.
x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.
![207*\frac{4}{92}=\frac{x}{207}*207](https://tex.z-dn.net/?f=207%2A%5Cfrac%7B4%7D%7B92%7D%3D%5Cfrac%7Bx%7D%7B207%7D%2A207)
![207*\frac{4}{92}=x](https://tex.z-dn.net/?f=207%2A%5Cfrac%7B4%7D%7B92%7D%3Dx)
![207*0.0434782609=x](https://tex.z-dn.net/?f=207%2A0.0434782609%3Dx)
![9=x](https://tex.z-dn.net/?f=9%3Dx)
The florist can arrange <u>9 arrangements</u> in 207 minutes.
Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
Answer:
20579.53 will be your answer good sir.
Step-by-step explanation: